Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6601 | Find the angle $ \alpha $ of a trapezoid if long base $a = 51.4375\, \text{in}$, short base $b = 51.375\, \text{in}$ and side $c = 90.5625\, \text{in}$. | 2 |
| 6602 | Find the angle $ \alpha $ of a trapezoid if long base $a = 50.9375\, \text{in}$, short base $b = 50.8125\, \text{in}$ and side $c = 90.5625\, \text{in}$. | 2 |
| 6603 | Find the angle $ \beta $ of a trapezoid if long base $a = 50.9375\, \text{in}$, short base $b = 50.8125\, \text{in}$ and side $c = 90.5625\, \text{in}$. | 2 |
| 6604 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 13\, \text{mm}$. | 2 |
| 6605 | Find the angle $ \alpha $ of a trapezoid if long base $a = 67\, \text{mm}$, short base $b = 87\, \text{mm}$ and height $h = 155\, \text{mm}$. | 2 |
| 6606 | Find the angle $ \alpha $ of a trapezoid if long base $a = 87\, \text{mm}$, short base $b = 67\, \text{mm}$ and height $h = 155\, \text{mm}$. | 2 |
| 6607 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, area $A = 10\, \text{mm}^2$ and angle $\alpha = 90^o$. | 2 |
| 6608 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{mm}$, area $A = 10\, \text{mm}^2$ and angle $\beta = 90^o$. | 2 |
| 6609 | Find the long base $ a $ of a trapezoid if short base $b = 17\, \text{in}$, side $c = 23\, \text{in}$, diagonal $d = \sqrt{ 818 }\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6610 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{mm}$, short base $b = 20\, \text{mm}$ and side $c = 10\, \text{mm}$. | 2 |
| 6611 | Find the angle $ \alpha $ of a trapezoid if long base $a = 91.25\, \text{in}$, short base $b = 63.625\, \text{in}$ and side $c = 110\, \text{in}$. | 2 |
| 6612 | Find the angle $ \beta $ of a trapezoid if long base $a = 91.25\, \text{in}$, short base $b = 63.625\, \text{in}$ and side $c = 110\, \text{in}$. | 2 |
| 6613 | Find the long base $ a $ of a trapezoid if short base $b = 27\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6614 | Find the short base $ b $ of a trapezoid if long base $a = 17\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6615 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{mm}$ and side $c = 10\, \text{mm}$. | 2 |
| 6616 | Find the long base $ a $ of a trapezoid if long base $a = 31.2\, \text{mm}$, short base $b = 13\, \text{mm}$ and side $c = 16\, \text{mm}$. | 2 |
| 6617 | Find the short base $ b $ of a trapezoid if long base $a = 173.5\, \text{in}$ and height $h = 18\, \text{in}$. | 2 |
| 6618 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 2.5\, \text{mm}$, side $c = 3\, \text{mm}$ and height $h = 3\, \text{mm}$. | 2 |
| 6619 | Find the long base $ a $ of a trapezoid if short base $b = 23.375\, \text{in}$, side $c = 5\, \text{in}$ and height $h = 3.5\, \text{in}$. | 2 |
| 6620 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{mm}$, side $c = 13\, \text{mm}$, diagonal $d = 37\, \text{mm}$ and height $h = 12\, \text{mm}$. | 2 |
| 6621 | Find the long base $ a $ of a trapezoid if long base $a = 27\, \text{mm}$, short base $b = 11\, \text{mm}$ and side $c = 10\, \text{mm}$. | 2 |
| 6622 | Find the long base $ a $ of a trapezoid if long base $a = 728.4\, \text{ft}$, short base $b = 212.5\, \text{ft}$ and side $c = 653.4\, \text{ft}$. | 2 |
| 6623 | Find the angle $ \alpha $ of a trapezoid if long base $a = 78\, \text{in}$, short base $b = 36\, \text{in}$ and height $h = 36.5\, \text{in}$. | 2 |
| 6624 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.25\, \text{in}$, short base $b = 0.187\, \text{in}$ and height $h = 0.125\, \text{in}$. | 2 |
| 6625 | Find the long base $ a $ of a trapezoid if long base $a = 9.5\, \text{in}$, height $h = 14.1875\, \text{in}$ and angle $\beta = 10^o$. | 2 |
| 6626 | Find the long base $ a $ of a trapezoid if long base $a = 180\, \text{cm}$, height $h = 25\, \text{cm}$, angle $\alpha = 125^o$ and angle $\beta = 145^o$. | 2 |
| 6627 | Find the long base $ a $ of a trapezoid if height $h = 25\, \text{cm}$, angle $\alpha = 125^o$ and angle $\beta = 145^o$. | 2 |
| 6628 | Find the short base $ b $ of a trapezoid if long base $a = 180\, \text{cm}$, height $h = 25\, \text{cm}$, angle $\alpha = 125^o$ and angle $\beta = 145^o$. | 2 |
| 6629 | Find the side $ c $ of a trapezoid if long base $a = 38\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 42\, \text{in}$. | 2 |
| 6630 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{in}$, short base $b = 10\, \text{in}$ and side $c = 44.27\, \text{in}$. | 2 |
| 6631 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 32\, \text{mm}$ and angle $\alpha = 21^o$. | 2 |
| 6632 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{mm}$, side $c = 32\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6633 | Find the angle $ \alpha $ of a trapezoid if short base $b = 32\, \text{mm}$, height $h = 24\, \text{mm}$ and angle $\beta = 90^o$. | 2 |
| 6634 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{mm}$, short base $b = 5\, \text{mm}$, side $c = 4\, \text{mm}$ and diagonal $d = 6\, \text{mm}$. | 2 |
| 6635 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 6636 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{cm}$, short base $b = 7\, \text{cm}$ and height $h = 7\, \text{cm}$. | 2 |
| 6637 | Find the long base $ a $ of a trapezoid if long base $a = 42\, \text{in}$, side $c = 70\, \text{in}$, height $h = 70\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 15^o$. | 2 |
| 6638 | Find the side $ c $ of a trapezoid if long base $a = 42\, \text{in}$, side $c = 70\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 15^o$. | 2 |
| 6639 | Find the long base $ a $ of a trapezoid if short base $b = 415\, \text{mm}$, height $h = 50\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 6640 | Find the angle $ \alpha $ of a trapezoid if long base $a = 485\, \text{mm}$, short base $b = 415\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\alpha = 5^o$. | 2 |
| 6641 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{ft}$ and side $c = 8\, \text{ft}$. | 2 |
| 6642 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{ft}$, side $c = 6\, \text{ft}$, angle $\alpha = 167^o$ and angle $\beta = 13^o$. | 2 |
| 6643 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 8\, \text{ft}$ and side $c = 6\, \text{ft}$. | 2 |
| 6644 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{ft}$, side $c = 6\, \text{ft}$, angle $\alpha = 77^o$ and angle $\beta = 103^o$. | 2 |
| 6645 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{ft}$, short base $b = 85\, \text{ft}$ and side $c = 179\, \text{ft}$. | 2 |
| 6646 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 6647 | Find the long base $ a $ of a trapezoid if short base $b = 1890\, \text{mm}$, side $c = 550\, \text{mm}$, angle $\alpha = 51^o$ and angle $\beta = 129^o$. | 2 |
| 6648 | Find the side $ c $ of a trapezoid if long base $a = 424\, \text{mm}$, short base $b = 124\, \text{mm}$, height $h = 150\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 6649 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{in}$ and height $h = 3\, \text{in}$. | 2 |
| 6650 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{ft}$ and side $c = 7\, \text{ft}$. | 2 |
